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Mice21 [21]
2 years ago
13

Find the length of the altitude to the hypotenuse. Round the answer to the nearest tenth. Solve for AD.

Mathematics
1 answer:
dedylja [7]2 years ago
4 0

Answer:

  AD = 2.4

Step-by-step explanation:

All of the triangles in this figure are similar, so their corresponding sides have the same ratios.

The short side of ΔABD is 3/5 of the hypotenuse, which is 4.

  AD/AB = CA/CB . . . . = short side/hypotenuse

  AD = AB(CA/CB) = 4(3/5) = 2.4

The length of AD is 2.4 units.

_____

You can also go at this in terms of area.

  A = 1/2bh = 1/2(3)(4) = 1/2(5)(AD)   ⇒   AD = 12/5 = 2.4

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5-2(4a+1)+3a=13 <br><br> A= 2/3<br> A= -2<br> A= -6/5<br> A=2
VMariaS [17]

Answer:

                   a = -2

Simplifying 5 + -2(4a + 1) + 3a = 13 Reorder the terms: 5 + -2(1 + 4a) + 3a = 13 5 + (1 * -2 + 4a * -2) + 3a = 13 5 + (-2 + -8a) + 3a = 13 Combine like terms: 5 + -2 = 3 3 + -8a + 3a = 13 Combine like terms: -8a + 3a = -5a 3 + -5a = 13 Solving 3 + -5a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5a = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = 13 + -3 -5a = 13 + -3 Combine like terms: 13 + -3 = 10 -5a = 10 Divide each side by '-5'. a = -2

6 0
3 years ago
Một khối kim loại có thể tích 3,2cm3 và cân nặng 22,4g. Hỏi một khối kim loại cùng chất có thể tích là 4,5cm3 cân nặng bao nhiêu
Ymorist [56]

Answer:

Một cm3 của khối kim loại đó cân nặng số gam là:

22,4:3,2=7(g)

Một khối kim loại cùng chất có thể tích là 4,5cm3 cân nặng số gam là:

7x4,5=31,5(g)

Step-by-step explanation:

6 0
2 years ago
Write an equation for the situation There are 8 nickels and d dimes in your pocket. The nickels and dimes have a total value of
Contact [7]
8(5)+d=70 this is the correct answer ( I think)

5 0
3 years ago
Read 2 more answers
DUE AT 12 SO LIKE HURRY
Alexxx [7]

Answer:

2.5

Step-by-step explanation:

7 0
3 years ago
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Type the correct answer in each box. Use numerals instead of words. For this question, any answer that is not a whole number sho
egoroff_w [7]

Answer:

Step-by-step explanation:

Since we are not given the value of P, |Q|, R and S, we can as well assume values for them for the sake of this question.

Let P = 5, |Q| = 6, R =7 |S| = 2

Note that since Q and S are in modulus sign, they can return both positive and negative values.

P+Q = 5 + 6 (note that the positive value of Q is used since we need the greatest value of P+Q)

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For the least value of P+Q, we will use the negative value of Q as shown

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P+Q = 5-6

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R+S = 9

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For the least value of R+S, we will use the negative value of S as shown

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R+S = 5-3

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Hence the least value of P+Q is 2

NOTE THAT THIS ARE ASSUMED VALUES. ALL YOU NEED IS TO PLUG IN THE VALUES OF P, Q and R THAT YOU HAVE IN CASE THE VALUES DIFFERS.

5 0
3 years ago
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